Application of Additive Correction Multigrid to the Coupled Fluid Flow Equations

A pressure based Eulerian–Eulerian multi-phase model for non-equilibrium condensation in transonic steam flow

“…The discrete equations are then solved using an algebraic multi-grid approach [25]. The discrete equations for momentum and mass (or pressure) are coupled and solved directly for the hydrodynamic variables [24]. This by-passes the necessity for segregated iterative procedures such as the popular SIMPLE methods to resolve the pressure-velocity coupling in the flow.…”

“…Discretization follows the finite-volume/finite-element approach [23]. The vapor phase conservation equations employed second order discretization, and the solution of the hydrodynamic equations (u, v, w and p) was obtained by a coupled (non-segregated) approach [24,25]. The liquid phase equations experience a sharp discontinuity near the nucleation front and a bounded upwind (first order) scheme was employed for Eqs.…”

A model of the unsteady response of a backward‐facing compliant step

“…While spatial discretization is second-order accurate, the transient uses a first-order backward Euler scheme in this work. The solution of the fluid flow system of equations is accelerated through the use of a linear multigrid solver [13] and a coupled solution of the momentum and mass equations [14]. Specific details on the convergence criteria for the compliant step model, the mesh motion and conservation equations (for the CFD model) are as follows:…”

Convergence acceleration of segregated algorithms using dynamic tuning additive correction multigrid strategy

“…Previous work [5,6] presented convergence acceleration methodologies based on the ACM formulation in which segregated solvers are used on the fine grid, while direct solvers were used on the coarse grids. In the present paper, an ACM-SIMPLEC (ACM-S) procedure with dynamic tuning of the relaxation coefficients is proposed.…”